Quantifying the strategyproofness of mechanisms via metrics on payoff distributions

  • Authors:
  • Benjamin Lubin;David C. Parkes

  • Affiliations:
  • Harvard University, Cambridge, MA;Harvard University, Cambridge, MA

  • Venue:
  • UAI '09 Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence
  • Year:
  • 2009

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Abstract

Strategyproof mechanisms provide robust equilibrium with minimal assumptions about knowledge and rationality but can be unachievable in combination with other desirable properties such as budget-balance, stability against deviations by coalitions, and computational tractability. In the search for maximally-strategyproof mechanisms that simultaneously satisfy other desirable properties, we introduce a new metric to quantify the strategyproofness of a mechanism, based on comparing the payoff distribution, given truthful reports, against that of a strategyproof "reference" mechanism that solves a problem relaxation. Focusing on combinatorial exchanges, we demonstrate that the metric is informative about the eventual equilibrium, where simple regret-based metrics are not, and can be used for online selection of an effective mechanism.